Abstract:
A description is given of the partition of flat superspaces, which correspond to classical simple Lie supergroups, into Schubert supercells. The relative positions of Schubert supervarieties are studied and their singularities are resolved.
Citation:
A. A. Voronov, Yu. I. Manin, “Supercellular partitions of flag superspaces”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 32, VINITI, Moscow, 1988, 27–70; J. Soviet Math., 51:1 (1990), 2083–2108
\Bibitem{VorMan88}
\by A.~A.~Voronov, Yu.~I.~Manin
\paper Supercellular partitions of flag superspaces
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh.
\yr 1988
\vol 32
\pages 27--70
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd102}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=957751}
\zmath{https://zbmath.org/?q=an:0736.58005}
\transl
\jour J. Soviet Math.
\yr 1990
\vol 51
\issue 1
\pages 2083--2108
\crossref{https://doi.org/10.1007/BF01098185}
Linking options:
https://www.mathnet.ru/eng/intd102
https://www.mathnet.ru/eng/intd/v32/p27
This publication is cited in the following 4 articles:
N. I. Ivanova, A. L. Onishchik, “Parabolic Subalgebras and Gradings of Reductive Lie Superalgebras”, Journal of Mathematical Sciences, 152:1 (2008), 1–60
A. L. Onishchik, O. V. Platonova, “Homogeneous supermanifolds associated with complex projective space. II”, Sb. Math., 189:3 (1998), 421–441
C. Victoria, “Forms and cohomology of supermanifolds under review”, Journal of Geometry and Physics, 26:1-2 (1998), 171
V. G. Drinfeld, V. A. Iskovskikh, A. I. Kostrikin, A. N. Tyurin, I. R. Shafarevich, “Yurii Ivanovich Manin (on his 60th birthday)”, Russian Math. Surveys, 52:4 (1997), 863–873
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